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<div><a href="../index.html">Home</a> &gt;  <a href="index.html">source</a> &gt; extendedAffine.m</div>

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<h1>extendedAffine
</h1>

<h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>Calculate the Extended Affine Matrix of matrix A.</strong></div>

<h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="box"><strong>function [ newA ] = extendedAffine( A, n, m, hState, d ) </strong></div>

<h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre class="comment">Calculate the Extended Affine Matrix of matrix A.

Calculate the Extended Affine Matrix of matrix A where n is the degree of
A and m is the degree of the state vector x in homogeneous form.

Prototype: [newA] = extendedAffine(A, n, m, hState, d)

Input:     A - nxn matrix with Syms affine parameters.
           n - Degree of A.
           m - Degree of the state vector x in homogeneous form.
           hState - Homogeneous state vector.
           d - Dimension of homogeneous state vector hState.

Output:    newA - Extended Affine Matrix A divided in cells.</pre></div>

<!-- crossreference -->
<h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
This function calls:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="extendedMatrix.html" class="code" title="function [ Ae ] = extendedMatrix( A, n, m, hState, d )">extendedMatrix</a>	Calculate the Extended Matrix of matrix A as single matrix.</li><li><a href="strsplit.html" class="code" title="function parts = strsplit( splitstr, str, option )">strsplit</a>	Split string into pieces.</li></ul>
This function is called by:
<ul style="list-style-image:url(../matlabicon.gif)">
<li><a href="robLySearch.html" class="code" title="function [] = robLySearch( A, m )">robLySearch</a>	Calculate the stability of a system whit Homogeneous Lyapunov function.</li></ul>
<!-- crossreference -->



<h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../up.png"></a></h2>
<div class="fragment"><pre>0001 <span class="comment">%Calculate the Extended Affine Matrix of matrix A.</span>
0002 <span class="comment">%</span>
0003 <span class="comment">%Calculate the Extended Affine Matrix of matrix A where n is the degree of</span>
0004 <span class="comment">%A and m is the degree of the state vector x in homogeneous form.</span>
0005 <span class="comment">%</span>
0006 <span class="comment">%Prototype: [newA] = extendedAffine(A, n, m, hState, d)</span>
0007 <span class="comment">%</span>
0008 <span class="comment">%Input:     A - nxn matrix with Syms affine parameters.</span>
0009 <span class="comment">%           n - Degree of A.</span>
0010 <span class="comment">%           m - Degree of the state vector x in homogeneous form.</span>
0011 <span class="comment">%           hState - Homogeneous state vector.</span>
0012 <span class="comment">%           d - Dimension of homogeneous state vector hState.</span>
0013 <span class="comment">%</span>
0014 <span class="comment">%Output:    newA - Extended Affine Matrix A divided in cells.</span>
0015 
0016 <a name="_sub0" href="#_subfunctions" class="code">function [ newA ] = extendedAffine( A, n, m, hState, d )</a>
0017 
0018 [Ae] = <a href="extendedMatrix.html" class="code" title="function [ Ae ] = extendedMatrix( A, n, m, hState, d )">extendedMatrix</a>(A, n, m, hState);
0019 
0020 kmax = 0;
0021 paramName = findsym(A);
0022 <span class="keyword">if</span> strfind(paramName,<span class="string">','</span>)
0023     paramName = <a href="strsplit.html" class="code" title="function parts = strsplit( splitstr, str, option )">strsplit</a>(<span class="string">','</span>,paramName);
0024 <span class="keyword">else</span>
0025     paramName = <a href="strsplit.html" class="code" title="function parts = strsplit( splitstr, str, option )">strsplit</a>(<span class="string">''</span>,paramName);
0026 <span class="keyword">end</span>
0027 
0028 <span class="keyword">for</span> i = 0:length(paramName)
0029     <span class="keyword">for</span> j = 1:length(paramName)
0030         <span class="keyword">if</span> i ~= j
0031             eval(strcat(char(paramName(j)),<span class="string">'=0;'</span>));
0032         <span class="keyword">else</span>
0033             eval(strcat(char(paramName(j)),<span class="string">'=1;'</span>));
0034         <span class="keyword">end</span>
0035     <span class="keyword">end</span>
0036     newA{i+1} = subs(Ae);
0037     <span class="keyword">if</span> i~=0
0038         newA{i+1} = newA{i+1}-newA{1};
0039     <span class="keyword">end</span>
0040 <span class="keyword">end</span>
0041 
0042 <span class="keyword">return</span>;
0043 
0044 <span class="keyword">end</span></pre></div>
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